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  Question 1. State the prove The Density Theorem for Rational Numbers. Question 2. Prove that irrational...

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Question 1. State the prove The Density Theorem for Rational Numbers.

Question 2. Prove that irrational numbers are dense in the set of real numbers.

Question 3. Prove that rational numbers are countable

Question 4. Prove that real numbers are uncountable

Question 5. Prove that square root of 2 is irrational

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